Do you think riflepermits or a similar service could get SAPS / Customs to look the other way? I would much rather prefer to bring my own rifle but dont want to deal with the headache of getting turned away upon landingUsually months after the prior one is expired, unfortunately. This creates a perfect opportunity for your African customs and gun permit people to shake you down for a bribe for expired forms.
All I can say is keep looking at the CBP website for an updated form until the last possible moment when you go to get your guns inspected by CBP.
It used to be even worse, the CBP offices wouldn't accept the downloaded PDF templates and made you use their pre-printed pads that were at times 5-7 years past the expiration date on the bottom.